Fixed Point Results under Generalized c-Distance in Cone b-Metric Spaces Over Banach Algebras

被引：3
|
作者：
Firozjah, Ataollah Arabnia [1 ]
Rahimi, Hamidreza [1 ]
De la Sen, Manuel [2 ]
Rad, Ghasem Soleimani [1 ]
机构：
[1] Islamic Azad Univ, Fac Sci, Dept Math, Cent Tehran Branch, POB 13185-768, Tehran, Iran
[2] Univ Basque Country, Inst Res & Dev Proc IIDP, Campus Leioa,POB 48940 Leioa, Leioa, Bizkaia, Spain
来源：
AXIOMS | 2020年 / 9卷 / 01期
关键词：
cone b-metric space over Banach algebra; spectral radius; generalized c-distance; fixed point; THEOREMS; MAPPINGS; CONTRACTIONS;
D O I：
10.3390/axioms9010031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we define the concept of a generalized c-distance in cone b-metric spaces over a Banach algebra and introduce some its properties. Then, we prove the existence and uniqueness of fixed points for mappings satisfying weak contractive conditions such as Han-Xu-type contraction and Cho-type contraction with respect to this distance. Our assertions are useful, since we remove the continuity condition of the mapping and the normality condition for the cone. Several examples are given to support the main results.
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页数：9
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